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Finding the Fourth Proportional to 500,137.97, 690,146.60 and 282,334.64

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Solution

The fourth proportional to 500,137.97, 690,146.60 and 282,334.64 is: 389,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,137.97 : 690,146.60 = 282,334.64 : x
  2. Step 2: Convert to fraction form
    500,137.97/690,146.60 = 282,334.64/x
  3. Step 3: Cross multiply
    500,137.97x = 690,146.60 × 282,334.64
  4. Step 4: Simplify right side
    500,137.97x = 194,852,286,995.82
  5. Step 5: Solve for x
    x = 194,852,286,995.82/500,137.97
  6. Step 6: Final answer
    x = 389,597.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.